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Finding the Fourth Proportional to 22,050, 33,072.37 and 7,255.25

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Solution

The fourth proportional to 22,050, 33,072.37 and 7,255.25 is: 10,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050 : 33,072.37 = 7,255.25 : x
  2. Step 2: Convert to fraction form
    22,050/33,072.37 = 7,255.25/x
  3. Step 3: Cross multiply
    22,050x = 33,072.37 × 7,255.25
  4. Step 4: Simplify right side
    22,050x = 239,948,128.94
  5. Step 5: Solve for x
    x = 239,948,128.94/22,050
  6. Step 6: Final answer
    x = 10,882.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.